Atkin-Lehner |
2- 5+ 7- 31- |
Signs for the Atkin-Lehner involutions |
Class |
86800cg |
Isogeny class |
Conductor |
86800 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
691200 |
Modular degree for the optimal curve |
Δ |
-35553280000000000 = -1 · 224 · 510 · 7 · 31 |
Discriminant |
Eigenvalues |
2- -2 5+ 7- -4 -1 -3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,79792,-2626412] |
[a1,a2,a3,a4,a6] |
j |
1404547175/888832 |
j-invariant |
L |
0.42128821310394 |
L(r)(E,1)/r! |
Ω |
0.210644084024 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10850s1 86800cl1 |
Quadratic twists by: -4 5 |